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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 37830.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.m1 | 37830o1 | \([1, 0, 1, 617, 13718]\) | \(26036981844119/95757187500\) | \(-95757187500\) | \([]\) | \(41440\) | \(0.78996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37830.m do not have complex multiplication.Modular form 37830.2.a.m
sage: E.q_eigenform(10)